Reply to ‘Lifshitz-point critical behaviour toO(ϵL2)’
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1 Reply on “ Lifshitz - point critical behaviour to O ( ǫ 2 L ) ”
We reply to a recent comment by H. W. Diehl and M. Shpot (condmat/0106502) criticizing our paper J. Phys. A: Math. Gen. 34 (2001) L327-332. We show that the approximation we use for evaluating higher-loop integrals is consistent with homogeneity. A new renormalization group approach is presented in order to compare the two methods with high-precision numerical data concerning the uniaxial case....
متن کاملA ug 2 00 1 Reply on “ Lifshitz - point critical behaviour to O ( ǫ 2 L ) ”
We reply to a recent comment by H. W. Diehl and M. Shpot (condmat/0106502) criticizing our paper J. Phys. A: Math. Gen. 34 (2001) L327-332. It is shown that their calculation is incomplete. PACS: 75.40.-s; 75.40.Cx; 64.60.Kw Typeset using REVTEX ∗e-mail:[email protected], [email protected] †e-mail:[email protected], [email protected] 1 In a recent paper Diehl and Shpot [1] (DS) criticize...
متن کاملLifshitz - point critical behaviour to O ( ǫ 2 )
We comment on a recent letter by L. C. de Albuquerque and M. M. in which results to second order in ǫ = 4 − d + m 2 were presented for the critical exponents ν L2 , η L2 and γ L2 of d-dimensional systems at m-axial Lifshitz points. We point out that their results are at variance with ours. The discrepancy is due to their incorrect computation of momentum-space integrals. Their speculation that ...
متن کاملExact renormalization group equation for the Lifshitz critical point
An exact renormalization equation (ERGE) accounting for an anisotropic scaling is derived. The critical and tricritical Lifshitz points are then studied at leading order of the derivative expansion which is shown to involve two differential equations. The resulting estimates of the Lifshitz critical exponents compare well with the O ( ǫ2 ) calculations. In the case of the Lifshitz tricritical p...
متن کاملReply to “ Comment on Renormalization group picture of the Lifshitz critical behavior ”
We reply to a recent comment by Diehl and Shpot (cond-mat/0305131) criticizing a new approach to the Lifshitz critical behavior just presented (M. M. Leite, Phys. Rev. B 67, 104415(2003)). We show that this approach is free of inconsistencies in the ultraviolet regime. We recall that the orthogonal approximation employed to solve arbitrary loop diagrams worked out at the criticized paper even a...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2002
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/35/7/402